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Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems. (English) Zbl 1416.37023

Summary: In this paper we obtain different sufficient conditions for a non-autonomous discrete system to be multi-sensitivite. We study properties of a multi-sensitive non-autonomous system in detail. It is proved that on a compact metric space every finitely generated non-autonomous system which is topologically transitive having dense set of periodic points is thickly syndetically sensitive. We introduce and study the notion of totally sensitive non-autonomous systems. We also provide counter examples to support our results.

MSC:

37B55 Topological dynamics of nonautonomous systems
54H20 Topological dynamics (MSC2010)
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